Theorems · Theorem · logic and foundations
Ordinal.blsub_le_bsup_succ
Deprecated since 2026-03-23Mathlib marks this declaration as deprecated.
∀ {o : Ordinal.{u}} (f : (a : Ordinal.{u}) → a < o → Ordinal.{max u v}), o.blsub f ≤ Order.succ (o.bsup f)- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement and proof · cited by 1,688
- Order.succstatement · cited by 633
- Ordinal.bsupstatement · cited by 49
- Ordinal.blsubstatement · cited by 44
- Order.lt_succ_iffproof · cited by 22
- Ordinal.le_bsupproof · cited by 10
- Ordinal.blsub_leproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.bsup_succ_eq_blsubproof · cited by 0